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  1. 1Adding and Subtracting Integers
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    1. 1.1Introduction to integer addition
    2. 1.2Adding integers
    3. 1.3Introduction to integer subtraction
    4. 1.4Subtracting integers
    5. 1.5Application of integer operations
  2. 2Multiplying and Dividing Integers
    1. 2.1Multiplying integers
    2. 2.2Dividing integers
    3. 2.3Order of operations (PEMADS)
  3. 3Primes and Common Factors
    1. 3.1Prime factorization
    2. 3.2Least Common Multiple (LCM)
    3. 3.3Greatest Common Factors (GCF)
  4. 4Fractions
    1. 4.1Adding fractions with like denominators
    2. 4.2Subtracting fractions with like denominators
    3. 4.3Adding and subtracting fractions with unlike denominators
    4. 4.4Multiplying proper fractions
    5. 4.5Dividing fractions and mixed numbers
  5. 5Decimals
    1. 5.1Adding and subtracting decimal numbers
    2. 5.2Multiplying decimal numbers
    3. 5.3Dividing decimal numbers
    4. 5.4Scientific notation
    5. 5.5Rational vs. Irrational numbers
  6. 6Expressions and Equations
    1. 6.1Patterns
    2. 6.2Adding and subtracting polynomials
    3. 6.3Multiplying polynomials by monomials
    4. 6.4Solving linear equations using multiplication and division
    5. 6.5Solving two-step linear equations: ax + b = c, x/a + b = c
    6. 6.6Solving one - step equations: x + a = b
    7. 6.7Solving linear equations with variables on both sides
  7. 7Introduction to Equations
    1. 7.1Evaluating algebraic expressions
    2. 7.2Solving literal equations
    3. 7.3Applications of polynomial functions
    4. 7.4Money related questions in linear equations
  8. 8Absolute Value and Equations
    1. 8.1Absolute value functions
    2. 8.2Solving absolute value equations
    3. 8.3Solving absolute value inequalities
  9. 9Graphing Inequalities
    1. 9.1Express linear inequalities graphically and algebraically
    2. 9.2Solving one-step linear inequalities
    3. 9.3Solving multi-step linear inequalities
    4. 9.4Graphing linear inequalities in two variables
  10. 10Linear Equations
    1. 10.1Word problems of graphing linear functions
    2. 10.2Rate of change
    3. 10.3Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 10.4General form: Ax + By + C = 0
    5. 10.5Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    6. 10.6Parallel and perpendicular lines in linear functions
  11. 11Graphing Functions
    1. 11.1Domain and range of a function
    2. 11.2Identifying functions
    3. 11.3Function notation
    4. 11.4Graphing linear functions using x- and y-intercepts
    5. 11.5Determining number of solutions to linear equations
    6. 11.6Using elimination method to solve systems of equations
    7. 11.7Using substitution method to solve systems of equations
    8. 11.8Solving systems of linear equations by graphing
  12. 12Exponents and Multiplying Polynomials
    1. 12.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 12.2Exponents: Power rule (a^x)^y = a^(x * y)
    3. 12.3Exponents: Division rule (a^x / a^y) = a^(x-y)
    4. 12.4Combining the exponent rules
    5. 12.5Exponents: Zero exponent: a^0 = 1
    6. 12.6Multiplying binomial by binomial
    7. 12.7Solving linear equations using distributive property: a(x + b) = c
  13. 13Factoring
    1. 13.1Common factors of polynomials
    2. 13.2Factor by taking out the greatest common factor
    3. 13.3Factoring polynomials: ax2+bx+cax^2 + bx + c
    4. 13.4Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    5. 13.5Factoring difference of squares: x^2 - y^2
    6. 13.6Introduction to quadratic functions
    7. 13.7Factoring polynomials by grouping
    8. 13.8Factoring polynomials: x^2 + bx + c
    9. 13.9Evaluating polynomials
    10. 13.10Word problems of polynomials
  14. 14Radical Expressions and Quadratic Equations
    1. 14.1Evaluating and simplifying radicals
    2. 14.2Converting radicals to mixed radicals
  15. 15Imaginary and Complex Numbers
    1. 15.1Introduction to imaginary numbers
    2. 15.2Adding and subtracting complex numbers
    3. 15.3Multiplying and dividing complex numbers
    4. 15.4Complex conjugates
  16. 16Solving Quadratic Equations
    1. 16.1Solving quadratic equations by factoring
    2. 16.2Solving quadratic equations by completing the square
    3. 16.3Solving quadratic equations using the quadratic formula
    4. 16.4Nature of roots of quadratic equations: The discriminant
    5. 16.5Applications of quadratic equations
  17. 17Ratio, Proportion, Area, and Perimeter
    1. 17.1Ratios
    2. 17.2Similar polygons
  18. 18Surface Area and Volume
    1. 18.1Surface area and volume of prisms
    2. 18.2Surface area and volume of pyramids
    3. 18.3Surface area and volume of cylinders
    4. 18.4Surface area and volume of cones
    5. 18.5Surface area and volume of spheres
  19. 19Probability and Statistics
    1. 19.1Median and mode
    2. 19.2Mean
    3. 19.3Application of averages
    4. 19.4Introduction to probability
    5. 19.5Organizing outcomes
    6. 19.6Probability of independent events
    7. 19.7Fundamental counting principle
    8. 19.8Combinations
    9. 19.9Permutations
  20. 20Coordinate Geometry
    1. 20.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 20.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 20.3Solving second degree trigonometric equations
  21. 21Negative and Rational Exponents
    1. 21.1Rational exponents
    2. 21.2Solving radical equations
    3. 21.3Basic radical functions
  22. 22Composite Functions and Inverses
    1. 22.1Composite functions
    2. 22.2Inverse functions
  23. 23Logarithms and Exponential Functions
    1. 23.1What is a logarithm?
    2. 23.2Evaluating logarithms without a calculator
    3. 23.3Product rule of logarithms
    4. 23.4Quotient rule of logarithms
    5. 23.5Combining product rule and quotient rule in logarithms
    6. 23.6Solving logarithmic equations
    7. 23.7Evaluating logarithms using change-of-base formula
    8. 23.8Exponential growth and decay by a factor
    9. 23.9Exponential decay: Half-life
    10. 23.10Natural log: ln
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